106037100 has 360 divisors, whose sum is σ = 397005840. Its totient is φ = 24261120.

The previous prime is 106037083. The next prime is 106037167. The reversal of 106037100 is 1730601.

It is a super-2 number, since 2×106037100² = 22487733152820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2000674 + ... + 2000726.

It is an arithmetic number, because the mean of its divisors is an integer number (1102794).

Almost surely, 2^106037100 is an apocalyptic number.

106037100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106037100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198502920).

106037100 is an abundant number, since it is smaller than the sum of its proper divisors (290968740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106037100 is a wasteful number, since it uses less digits than its factorization.

106037100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 106037100 is about 10297.4317186374. The cubic root of 106037100 is about 473.3175566167.

Adding to 106037100 its reverse (1730601), we get a palindrome (107767701).

The spelling of 106037100 in words is "one hundred six million, thirty-seven thousand, one hundred".